# How do you find the domain of #f(x)= sqrt(x+6)/(x-5)#?

##### 1 Answer

Apr 21, 2015

For this function to have a value we need to satisfy two conditions:

(a) an expression under the sign of a square root should not be negative, that is

(b) an expression in the denominator should not be equal to

The first condition resolves into

(a)

The second one resolves into

(b)

Therefore, the domain of